Question

Find the equation of the line that passes through (-1,2) and is perpendicular to y=1-2x

Answer 1

Perpendicular lines have opposite-reciprocal slopes, so the slope of the line we want to find is 1/2. Plugging in the point given into the equation y = 1/2x + b and solving for b, we get b = 6. Thus, the equation of the line is y = ½x + 6.